Using the attach database command as exemplified below is supported by DbVisualizer.  

ATTACH DATABASE '/tmp/sqllite/another.db' As 'MyOtherDb';
select * from MyOtherDb.inotherdb;

Note that since the ATTACH DATABASE statement adds another database file to the current database connection, the attached database is only accessible from the same SQL commander.

If you need to access the attached database from other SQL Commander's, enable single physical connection for the database connection.

Note: DbVisualizer does not support encryption in SQLite.